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Finding the Third Proportional to 61,398 and 133,314

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Solution

The third proportional to 61,398 and 133,314 is: 289,465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,398 : 133,314 = 133,314 : x
  2. Step 2: Convert to fraction form
    61,398/133,314 = 133,314/x
  3. Step 3: Cross multiply
    61,398x = 133,314 × 133,314
  4. Step 4: Simplify right side
    61,398x = 17,772,622,596
  5. Step 5: Solve for x
    x = 17,772,622,596/61,398
  6. Step 6: Final answer
    x = 289,465.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.